What is simplify-1/3 (log_{10}(155)-log_{10}(35.1)) ?

The solution to simplify-1/3 (log_{10}(155)-log_{10}(35.1)) is -1/3 log_{10}(4.41595…)

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simplify-1/3 (log_{10}(155)-log_{10}(35.1))

simplify

- \frac{1}{3} (lo g_{10} (155) - lo g_{10} (35.1))

- \frac{1}{3} lo g_{10} (4.41595 \dots)

Decimal Notation

- 0.21500 \dots

Solution steps

- \frac{1}{3} (lo g_{10} (155) - lo g_{10} (35.1))

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (155) - lo g_{10} (35.1) = lo g_{10} (\frac{155}{35.1})

= - \frac{1}{3} lo g_{10} (\frac{155}{35.1})

Divide the numbers:

\frac{155}{35.1} = 4.41595 \dots

= - \frac{1}{3} lo g_{10} (4.41595 \dots)

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What is simplify-1/3 (log_{10}(155)-log_{10}(35.1)) ?
The solution to simplify-1/3 (log_{10}(155)-log_{10}(35.1)) is -1/3 log_{10}(4.41595…)